521417520 has 320 divisors, whose sum is σ = 1999872000. Its totient is φ = 124001280.

The previous prime is 521417509. The next prime is 521417543. The reversal of 521417520 is 25714125.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 870181 + ... + 870779.

It is an arithmetic number, because the mean of its divisors is an integer number (6249600).

Almost surely, 2^521417520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 521417520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999936000).

521417520 is an abundant number, since it is smaller than the sum of its proper divisors (1478454480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

521417520 is a wasteful number, since it uses less digits than its factorization.

521417520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 521417520 is about 22834.5685310671. The cubic root of 521417520 is about 804.8751886534.

The spelling of 521417520 in words is "five hundred twenty-one million, four hundred seventeen thousand, five hundred twenty".